Triangle L N M is cut by a bisector that forms a right angle with the base and splits the base into 2 congruent lengths. The lengths of sides L N and N M are congruent. Angle L N M is (6 x + 1) degrees. Angle N M L is (4 x minus 11) degrees.

What is the measure of ∠NLM?

m∠NLM =

Answer:

30

Step-by-step explanation:

You take a protractor and put at c then you measure

Answer:

d&#&#;#;'xn x;e;÷hr&÷h÷ebb ehehhbbsssshhheu73334914218899110

The expression of the decimal 0.139 in fraction form of p/q gives; 139/1000

We are given the decimal 0.139.

Now, when we want to convert to fraction, it means we want the decimal expression to have a numerator and a denominator.

Thus;

0.139 can also be expressed as; 139/1000

Therefore, the expression of the decimal 0.139 in fraction form of p/q gives; 139/1000

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The direction of the vector is - 21.8 N of E , Option B is the answer.

A vector is an object with both magnitude and direction.

A vector is shown in the graph.

To determine the direction , The angle needs to be determined

The slope of the vector will give the direction of the vector

The vector starts from the point (1 , 1)

Another point on the vector (-4 , 3)

slope = -2 /5

It is making angle x with the line y = 1

tan x = -2 /5

x = - 21.8 N of E.

Therefore the direction of the vector is - 21.8 N of E , Option B is the answer.

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Answer:

see image

Step-by-step explanation:

The x-intercept is the point where the line crosses the x-axis (horizontal, left and right line with numbers, arrows at both ends, usually marked x at the right end)

The y-intercept is where your line crosses the y-axis (vertical, up-and-down line with numbers, arrows at the ends, usually marked y at the top)

Two points determine a line.

Draw a line through the two points given. See image.

Answer: C

Step-by-step explanation:

Construct the segment connecting the point where the height meets to the base to where the slant height meets the base.

This forms a right triangle with legs of length 3.5 and 6.

So, by the Pythagorean theorem, [tex]x=\sqrt{3.5^2 + 6^2} \approx 6.9[/tex]

The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

The correct option is (B).

Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.

given:

ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.

Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

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Answer:

B

Step-by-step explanation:

Answer: adult = 3 child = 5

Step-by-step explanation:

49 = 8a+5c

8 = a+c

use those equations to solve^^

Answer:

Step-by-step explanation:

x=25 degrees.

A vertical angle is two angles formed by intersecting lines, just like the two that form 25 degrees and x degrees. The angles formed by vertical angles are congruent (meaning they are equivalent). So, x=25 degrees.

Answer:

see below

Step-by-step explanation:

24 ft * 12 in/ft     *   8ft * 12 in/ft   *  10 ft * 12 in/ft = 3317760  in^3

3 317 760 in^3  / 2220 in^3/bushel = 1494.49 bushels

The inequalities that will have point C as a solution are;

f(x) ≥ 3x + 4

g of x is greater than or equal to negative one half times x minus 5

We can see the inequality graph in the attached file.

Now, the two lines in the graph represent the equations;

f(x) = 3x + 4

g(x) = -¹/₂x - 5

Now, we see the point C and from inspection of the graph, we can see that it is to the right of f(x) and to the bottom of g(x) an as such the inequalities that will have point C as a solution is;

f(x) ≥ 3x + 4

g of x is greater than or equal to negative one half times x minus 5

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Answer:

55

Step-by-step explanation:

Well you just plug in 10 as n.. and you get the equation:

[tex]\frac{10(10+1)}{2} \\\frac{10(11)}{2}\\\\\frac{110}{2}\\\\55[/tex]

The probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4

Let the "green" value be an x value lying on segment AC.

Now, the segment AC has the equation y = x. Then, let the "purple" value that is twice a selected x value lie on the segment AE and as such, the equation of this line is y = 2x.

It must be noted that at point E, x = 0.5 and y = 1. This means at every x value on AC greater than 0.5, the value of y on EC associated with this x value is is less than twice that x value.

Then, between segments AE and AC, every value of y will be greater than, but less than twice, its associated x value.

Since triangle ACD has an area of 1/2 and triangle BEA has an area of 1/4, then we can say that;

Triangle AEC area = 1 - (1/2) - (1/4)   = 1/4.  

Thus,  the probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4

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The attached graph represents the number line of the inequality |2x - 5] ≥ 3

The inequality is given as:

|2x - 5] ≥ 3

Remove the absolute value sign

2x - 5 ≥ 3 or 2x - 5 ≥ -3

Add 5 to both sides

2x ≥ 5 + 3 or 2x ≥ 5-3

Evaluate

2x ≥ 8 or 2x ≥ 2

Divide through by 2

x ≥ 4 or x ≥ 1

Combine both inequalities

x ≤ 1 and x ≥ 4

See attachment for the number line

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The point-slope form of a line with slope that contains the point

(-3, 6) is y-6=2(x+3)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The point-slope form of a line is given by y - y₁ = m(x - x₁)

where m is the slope of the line, and (x₁, y₁) is a point on the line.

We are given that the line has a slope, but we are not given what the slope is.

The given point is (-3, 6)

y - 6 = m(x - (-3))

y - 6 = m(x+3)

As per the given options which matches the point slope form is y-6=-2(x+3)

Hence, the point-slope form of a line with slope that contains the point

(-3, 6) is y-6=2(x+3)

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Answer:

936 cm^2

Step-by-step explanation:

Solution

Back  (This is a rectangle)

Area = w * h

w = 7

h = 18

Area = 7 * 18 =                                                          126 cm^2

Front and Back

Area = 1/2 * B * H  (This is a triangle -- There are 2 of them)

Givens

B = 24

h = 18

Area = 1/2 * 24 * 18

Area = 216

But there are two such triangles = 2*216 =             432 cm ^2

Ramp

Formula Area = L*w (This is a rectangle)

L = 30

W = 7

Area = 30 * 7  =                                                          210 cm^2

Base

This is also a rectangle

L = 24

W = 7

Area = L*W

Area = 24 *7 =                                                            168 cm^2  

Total

168 cm^2

210 cm^2

432 cm^2

126  cm^2

936  cm^2

Answer: 144 degrees

Step-by-step explanation:

Radian ⇒ Degree = 180/π

Degree ⇒ Radian = π/180

[tex]\frac{4\pi }{5} *\frac{180}{\pi } =\frac{4}{5} *\frac{180}{1} =\frac{720}{5} =144[/tex]

Therefore your answer is 144 degrees

Hello !

π rad <=> 180°

4π/5 rad <=> ?°

The calculation ils attached.

We found 144°.

Have a nice day ;)

John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.

To determine how many images John must scan before his total cost is less than getting scanned images at the computer center, we can set up an equation.

Let's denote the number of images John needs to scan as "x."

The total cost for John to scan x images is given by:

John's total cost = cost of scanner + cost of supplies + cost per image scanned

John's total cost = $215.70 + ($0.34 * x)

The total cost for scanning x images at the computer center is given by:

Computer center's cost = cost per image scanned * x

Computer center's cost = $0.59 * x

We want to find the point at which John's total cost is less than the computer center's cost. In other words, we want to find the value of x for which John's total cost is less than the computer center's cost:

John's total cost < Computer center's cost

$215.70 + ($0.34 * x) < $0.59 * x

Now, we can solve for x:

$215.70 + ($0.34 * x) < $0.59 * x

$215.70 < $0.59 * x - $0.34 * x

$215.70 < $0.25 * x

Divide both sides of the inequality by $0.25:

$\frac{215.70}{0.25} < \frac{0.25 * x}{0.25}$

862.80 < x

Therefore, John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.

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Answer:

Yes, they are equivalent.

One way you can check this is by substituting any number into x.

For example, x = 2:

• First equation :  [tex]\frac{-x}{x + 1}[/tex]

                       ⇒  [tex]\frac{-2}{2 + 1}[/tex]

                       ⇒  [tex]\frac{-2}{3}[/tex]

• Second equation: [tex]\frac{x}{-x-1}[/tex]

                            ⇒  [tex]\frac{2}{-2-1}[/tex]

                            ⇒   [tex]\frac{-2}{3}[/tex]

As both forms of the equation give the same result after substitution, they are equivalent.

20) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so SSS

21) [tex]\overline{CD} \cong \overline{CD}[/tex] by the reflexive property, so ASA

22) [tex]\overline{CE} \cong \overline{CB}, \overline{AC} \cong \overline{CD}[/tex] by the definition of a midpoint and [tex]\angle 1 \cong \angle 2[/tex], so SAS

23) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so ASA

The Central Carbon

It is a method that represents the three-dimensional structures of molecules on a single page. These are a convenient way to represent the molecules and distribute them between the pairs of enantiomers. These are very often used to represent isomers of sugars.

The Fischer Projection consists of horizontal and vertical lines, the horizontal lines represent atoms that are pointed out of the plane and the vertical line represents atoms that are pointed away from the plane. The intersection point of the horizontal line and the vertical line represents the central carbon.

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Answer:

la verdad noce no me acuerdo

Answer:

4

Step-by-step explanation:

There are 6 grey diamonds in the row labelled "cat".

Each diamond means two hours.

6 × 2 = 12

Samanth's table shows that cats sleep 12 hours.

Tony is going to use a circle that means 3 hours.

12 ÷ 3 = 4

Tony needs 4 circles to show 12 hours.

4 × 3 = 12

Tony will use 4 circles.

Answer:

x axis is -2.

y axis is +1.

(-1, 3)

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

According to the question,

The following graph represents the linear function f(x) = x -2

Take any point on this line, say, (-1, 3).

Let us substitute (-1, 3) = (x, y) (i.e., x = -1 and y = 3) in the function f(x) = -x + 2 (note that it can be written as y = x - 2).

Then

3 = -(-1) + 2

3 = 1 + 2

3 = 3, thus, (-1, 3) satisfies the function.

In the same way, you can try taking different points and checking whether they satisfy the function. Each and every point on the line (in general called "curve") satisfies the function.

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answer:

oops, I accidentally messed this one up, so sorry

Answer:

"We can't use any of the patterns"

Step-by-step explanation:

You can't use [tex](U+V)^2[/tex] because that would result in some stuff in the middle. In general if you have something like that it would expand to [tex]U^2+2UV + V^2[/tex]. and same thing for the (U-V)^2 except the middle would be a negative number. You also can't use [tex](U+V)(U-V)[/tex] because it specifies "constant integers" and the "integer" part is what's really important, because you can technically rewrite the sum of squares as (U + V)(U - V) but you would need to use imaginary numbers. Because the difference of squares is defined as [tex]a^2-b^2 = (a-b)(a+b)[/tex]. But you can also think of it like this [tex]a-b = (\sqrt{a} - \sqrt{b})(\sqrt{a}+\sqrt{b})[/tex] because that's essentially what the original identity is saying. Using this definition you can write the sum of squares as [tex]a+b = a - (-b) = (\sqrt{a} + \sqrt{-b})(\sqrt{a} - \sqrt{-b}) = (\sqrt{a} + i\sqrt{b})(\sqrt{a} - i\sqrt{b})[/tex]. So with the restriction of constant integers "We can't use any of the patterns" is the correct answer

Answer:

[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]

Step-by-step explanation:

A recursive formula allows a rem in the sequence to be found by multiplying the previous term by the common ratio r

For this sequence

r =  [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{-3}[/tex] = 7 , then recursive formula is

[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]

Answer:

The sale price per piece of chicken was $0.69

Step-by-step explanation:

• We have to first calculate the price of 1 piece of chicken when 12 pieces cost $9.48.

Original price per piece = $9.48 ÷ 12

                                        = $0.79

• According to the question the price per piece decreased by $0.10 during the sale.

∴ Sale price per piece = $0.79 - $0.10

                                     = $0.69

Answer:

1.) 3/5

Step-by-step explanation:

When know that 3/5 is equivalent to 6/10 because both the numerator and the denominator are scaled up/down by the same amount. To be precise, we can get the answer of 3/5 by dividing the numerator and denominator by 2.

6 / 2 = 3

10 / 2 = 5

4398.22 cm³ the volume of cylinder.

What is volume of cylinder?

Given,

          Height of cylinder = 14 cm

         radius of cylinder = 10 cm

Now using formula volume of the cylinder = π r² h

          put value in formula,

                                               3.14 × 10× 10 × 14 = 4398.22 cm³

Therefore, 4398.22 cm³ the volume of cylinder.

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Yes, the results will be equal as it follows from the task content that both numbers were equal initially.

As evident in the task content, it follows that the numbers 77 and 88 although, not equal in the real sense, are equal according to the task content.

Hence, it follows that when equal parts are taken away from the two numbers, they would still be equal as both numbers were equal initially.

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Step-by-step explanation:

As all angles in a triangle add up to 180°

we can write:

(m+18)+(2m+28)+(3m+47) = 180

6m + 93 = 180

6m = 180 - 93

6m = 87

m = 87 / 6

m = 14.5